Permutation Calculator (nPr)

Your details

Standard: each item used at most once. Repetition: items may repeat. Circular: seats in a ring where rotations count as the same arrangement.
The total number of distinct items in the set you are drawing from.
How many items you are choosing and ordering. Not used in circular mode.
Display the corresponding unordered combinations count for comparison.
Permutations (nPr)
720

Total count of ordered arrangements

Combinations (nCr)120
n! (n factorial)3,628,800
r! (r factorial)6
Formula usedn! / (n - r)!
Permutations (nPr)720
Combinations (nCr)120

P(10, 3) = 720

  • There are 720 ordered ways to arrange 3 items chosen from a set of 10.
  • Compared with combinations (120), there are 6 times as many permutations because order matters.

Next stepToggle "Also show nCr" to compare ordered vs. unordered counts side by side.

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